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12730618528821 = 3223334318396821
BaseRepresentation
bin1011100101000001001111…
…1111101100010000110101
31200002000221200201220221100
42321100103333230100311
53132034301320410241
643024210532440313
72452520411024634
oct271202377542065
950060850656840
1012730618528821
114069030300376
121517342479099
137146524070ab
1432024553951b
1517124507e9b6
hexb9413fec435

12730618528821 has 24 divisors (see below), whose sum is σ = 19193919503616. Its totient is φ = 8115646762080.

The previous prime is 12730618528811. The next prime is 12730618528841. The reversal of 12730618528821 is 12882581603721.

It is a happy number.

12730618528821 is a `hidden beast` number, since 1 + 2 + 7 + 30 + 6 + 1 + 8 + 528 + 82 + 1 = 666.

It is not a de Polignac number, because 12730618528821 - 213 = 12730618520629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730618528811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8506410 + ... + 9890411.

It is an arithmetic number, because the mean of its divisors is an integer number (799746645984).

Almost surely, 212730618528821 is an apocalyptic number.

It is an amenable number.

12730618528821 is a deficient number, since it is larger than the sum of its proper divisors (6463300974795).

12730618528821 is a wasteful number, since it uses less digits than its factorization.

12730618528821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400193 (or 18400190 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12730618528821 in words is "twelve trillion, seven hundred thirty billion, six hundred eighteen million, five hundred twenty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 9 23 69 207 3343 10029 30087 76889 230667 692001 18396821 55190463 165571389 423126883 1269380649 3808141947 61500572603 184501717809 553505153427 1414513169869 4243539509607 12730618528821